513077652 has 120 divisors (see below), whose sum is σ = 1445402112. Its totient is φ = 158241600.

The previous prime is 513077641. The next prime is 513077659. The reversal of 513077652 is 256770315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513077659) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229902 + ... + 232122.

Almost surely, 2^513077652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513077652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722701056).

513077652 is an abundant number, since it is smaller than the sum of its proper divisors (932324460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513077652 is a wasteful number, since it uses less digits than its factorization.

513077652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 513077652 is about 22651.2174507244. The cubic root of 513077652 is about 800.5608837532.

It can be divided in two parts, 51 and 3077652, that added together give a palindrome (3077703).

The spelling of 513077652 in words is "five hundred thirteen million, seventy-seven thousand, six hundred fifty-two".